AlgebraHardSlope as a rate with units
Algebra practice question
A tank holds 60 litres of water and drains completely in 5 minutes at a constant rate. Which function gives the volume V, in litres, remaining t minutes after the drain is opened, for 0 ≤ t ≤ 5?
- A. V(t) = 60 − 12tCorrect
- B. V(t) = 60 − 5t
- C. V(t) = 12t
- D. V(t) = 60 − t/12
Answer: A. V(t) = 60 − 12t
Rate: 60 litres over 5 minutes = 12 litres per minute. V = 60 − 12t.
Why the other answers are wrong
- B. V(t) = 60 − 5t
- −5t uses the number of minutes as the rate.
- C. V(t) = 12t
- 12t is the amount drained, not what remains.
- D. V(t) = 60 − t/12
- t/12 would take an hour to drain 5 litres.
More Algebra questions
- Hard
For how many integer values of x is −2 < (x − 5)/3 ≤ 1 true? - Hard
The system 2x + 3y = 6 and 4x + 6y = k has infinitely many solutions. What is the value of k? - Hard
Which of the following is the complete solution set to |x − 4| < 6? - Hard
A student has $40 to spend on notebooks costing $4 each and pens costing $2 each, and wants at least 12 items … - Hard
What is the least whole number of minutes of international calling in a month for which the total monthly cost… - Hard
How many liters of the 30% acid solution did the technician use?
Not affiliated with the College Board. SAT is a trademark of the College Board.